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Search: id:A039690
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| A039690 |
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Ambitious numbers: numbers n with the property that if a number ends in n then it is divisible by n. |
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1
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| 1, 2, 5, 10, 20, 25, 50, 100, 125, 200, 250, 500, 1000, 1250, 2000, 2500, 5000, 10000, 12500, 20000, 25000, 50000, 100000, 125000, 200000, 250000, 500000, 1000000, 1250000, 2000000, 2500000, 5000000, 10000000, 12500000, 20000000, 25000000
(list; graph; listen)
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OFFSET
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1,2
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COMMENT
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Number whose 10's complement is a multiple of it. 125 is a member as its 10's complement is 1000-125 = 875= 125*7 - Amarnath Murthy (amarnath_murthy(AT)yahoo.com), Mar 08 2002
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REFERENCES
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P. J. Davis and R. Hersh, The Mathematical Experience, Birkhaeuser, Boston and Basel, 1981; see pp. 293-298.
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LINKS
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Problem of the week, Web site - problem 881
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FORMULA
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Consists of the numbers 1, 2, 5, 25 or 125 times a power of 10.
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EXAMPLE
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If a number ends in 2 then it is even and so is divisible by 2, so 2 is in the sequence.
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CROSSREFS
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Cf. A039690.
Sequence in context: A016029 A018327 A000099 this_sequence A126105 A117486 A000710
Adjacent sequences: A039687 A039688 A039689 this_sequence A039691 A039692 A039693
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KEYWORD
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nonn
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AUTHOR
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Erich Friedman (erich.friedman(AT)stetson.edu)
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EXTENSIONS
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Entry revised by njas, Aug 03 2004
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